PrepRung

CAT 2022 Slot 1 · Quant · Time, Speed and Distance · medium

A boat covers 30 km downstream in 2 hours and the same 30 km upstream in 3 hours.

Single correct option

A boat covers 30 km downstream in 2 hours and the same 30 km upstream in 3 hours. What is the speed of the boat in still water?
  1. A. 10 km/h
  2. B. 11 km/h
  3. C. 12.5 km/h
  4. D. 15 km/h
Show answer and solution

Answer: (C) 12.5 km/h

Downstream speed = 30/2 = 15 km/h, Upstream speed = 30/3 = 10 km/h. Speed in still water = (downstream + upstream)/2 = (15+10)/2 = 12.5 km/h. (Speed of current = (15−10)/2 = 2.5 km/h, though not asked here.)
Report a mistake

Original question written in the CAT 2022 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake